properties of compact spaces

We list the following commonly quoted properties of compact topological spaces.

• A closed subset of a compact space is compact

• A compact subspace of a Hausdorff space is closed

• The continuous image of a compact space is compact

• Compactness is equivalent to sequential compactness in the metric topology

Title	properties of compact spaces
Canonical name	PropertiesOfCompactSpaces
Date of creation	2013-03-22 13:25:07
Last modified on	2013-03-22 13:25:07
Owner	rspuzio (6075)
Last modified by	rspuzio (6075)
Numerical id	7
Author	rspuzio (6075)
Entry type	Result
Classification	msc 54D30